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2070672400 = 24527172911
BaseRepresentation
bin111101101101011…
…1111010000010000
312100022100001112101
41323122333100100
513220043004100
6541245410144
7102212265526
oct17332772020
95308301471
102070672400
11972927905
12499569954
1326ccbcc54
14159014316
15c1bc286a
hex7b6bf410

2070672400 has 60 divisors (see below), whose sum is σ = 5044927104. Its totient is φ = 816592000.

The previous prime is 2070672391. The next prime is 2070672419. The reversal of 2070672400 is 42760702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8056 + ... + 64855.

Almost surely, 22070672400 is an apocalyptic number.

2070672400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2070672400 is an abundant number, since it is smaller than the sum of its proper divisors (2974254704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2070672400 is a wasteful number, since it uses less digits than its factorization.

2070672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73000 (or 72989 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2070672400 is about 45504.6415214976. The cubic root of 2070672400 is about 1274.5898770628.

The spelling of 2070672400 in words is "two billion, seventy million, six hundred seventy-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 568 710 1136 1420 1775 2840 3550 5680 7100 14200 28400 72911 145822 291644 364555 583288 729110 1166576 1458220 1822775 2916440 3645550 5176681 5832880 7291100 10353362 14582200 20706724 25883405 29164400 41413448 51766810 82826896 103533620 129417025 207067240 258834050 414134480 517668100 1035336200 2070672400